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Overview : This activity is intended to be a fun way to discover the various properties of transformations. A transformation is when an object shifts up, down, left, right, rotates, reflects, or any combination there of. I have provided sample slides to help you understand how to align your pictures. Have fun! Photo Booth Project Directions for importing pictures: Open Picture Right Click Copy Go to Power Point Slide Right Click ‘Paste’ Right Click on Picture ‘Send to back’ Resize as necessary to fit slide and graph Transformations and Technology
Reflection over the y axis(picture is normal) Example for how to line up your picture • Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below. • Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’. • What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the Y Axis.
Reflection over the y axis(picture is normal) • Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below. • Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’. • What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the Y Axis.
Reflection over the x axis(picture needs to be sideways) Example for how to line up your picture • Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below. • Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’. • What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the X Axis.
Reflection over the x axis(picture needs to be sideways) • Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below. • Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’. • What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the X Axis.
Reflection over the line y = x(picture needs to rotate so line of symmetry lines up with dotted line) Example for how to line up your picture • Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below. • Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’. • What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the line y=x.
Reflection over the line y = x(picture needs to rotate so line of symmetry lines up with dotted line) • Choose 3 distinct points on your picture. Label your points A, B, and C. Find the coordinates of these points and fill them into the table below. • Find the coordinates A’, B’, C’. (For ex, A’ represents the original point A reflected.) Find the coordinates of these points and record them in the table below under A’, B’, C’. • What pattern do you notice as points move from their first to second position? Make a generalization for Reflections Over the line y=x.
Rotations & Dilations Following the same procedure, rotate your photo 90, 180, and 270 degrees about the origin. Dilate twice: once by a factor >1, then by a factor <1.